Question

Resolva as inequaçaoes abaixo

A)8x-10>2x+8

B) 7x-9<2x+16

C) 4x-5>6x+7

D)6x+4<-2x+12

Answer 1

Resoluções:

A) 8x - 10 > 2x + 8
    8x -2x > 8 +10
     6x > 18
        x>$\frac{18}{6}$
        x>3

B)7x - 9 < 2x +16
   7x - 2x < 16 + 9
   5x <25
     x< $\frac{25}{5}$
     x< 5 

C) 4x - 5 > 6x + 7
     4x - 6x > 7 + 5
     -2x > 12
      2x < -12
        x < $\frac{-12}{2}$
        x< - 6

D)6x + 4 < -2x +12
   6x + 2x < 12 - 4 
   8x < 8
     x <$\frac{8}{8}$
    x<1

Answer 2

a) 8x - 10 > 2x + 8
8x - 2x > 8 + 10
6x > 18
x > 18/6
x > 3
b) 7x - 9 < 2x + 16
7x - 2x < 16 + 9
5x < 25
x < 25/5
x< 5
c) 4x - 5 > 6x + 7
4x - 6x > 7 + 5
- 2x > 12 (multiplicando por - 1)
2x < - 12
x < - 12/6
x < - 2
d) 6x + 4 < - 2x + 12
6x + 2x < 12 - 4
4x < 8
x < 8/4
x< 2